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Finding the Fourth Proportional to 10,059.86, 13,881.87 and 5,583.80

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Solution

The fourth proportional to 10,059.86, 13,881.87 and 5,583.80 is: 7,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.86 : 13,881.87 = 5,583.80 : x
  2. Step 2: Convert to fraction form
    10,059.86/13,881.87 = 5,583.80/x
  3. Step 3: Cross multiply
    10,059.86x = 13,881.87 × 5,583.80
  4. Step 4: Simplify right side
    10,059.86x = 77,513,620.41
  5. Step 5: Solve for x
    x = 77,513,620.41/10,059.86
  6. Step 6: Final answer
    x = 7,705.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.